Just bottled a Czech pilsener, after 4 weeks in 2ndary. It tasted good!

Question: If a beer tastes good at bottling time, will it still be good (or better) following carbonation in the bottle? In other words, is there still an opportunity for me to mess up this particular brew?

Once the ale is in the bottle it tends to improve. Keep it cool & out of the light.

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I put the bottles in a cardboard box and then taped it up.
Is it OK to store the bottles at room temp? I know cool storage is preferred for lagers but I don't really have the facilities. I tend to store all my bottles in a hall way at about room temp..

It's okay to keep them at room temperature, it's even preferred for the first week or so, to let the yeast carbonate the brew. It wont hurt them after that either.
Also, you still need to be mindful of sanitation at bottling time, but it's not as critical because of the alcohol being able to kill baddies.